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Atlas › Integer Profiles › Node 8,777,220

8,777,220

22 × 3 × 5 × 241 × 607
Abundant Even Composite

8,777,220 factors as 2^2 × 3 × 5 × 241 × 607. Its 48 positive divisors give a proper-divisor sum of 15,941,628, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 241 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,718,848
Proper Divisor Sum 15,941,628
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8777189 ← → #8777231

Radix Representation

Decimal 8777220
Binary 100001011110111000000100 (24 bits)
Octal 0o41367004
Hexadecimal 0x85EE04

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 241 482 607 723 964 1,205 1,214 1,446 1,821 2,410 2,428 2,892 3,035 3,615 3,642 4,820 6,070 7,230 7,284 9,105 12,140 14,460 18,210 36,420 146,287 292,574 438,861 585,148 731,435 877,722 1,462,870 1,755,444 2,194,305 2,925,740 4,388,610 8,777,220

Collatz Trajectory (150 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,777,220 4,388,610 2,194,305 6,582,916 3,291,458 1,645,729 4,937,188 2,468,594 1,234,297 3,702,892 1,851,446 925,723 2,777,170 1,388,585 4,165,756 2,082,878 1,041,439 3,124,318 1,562,159 4,686,478 2,343,239 7,029,718 3,514,859 10,544,578 5,272,289 15,816,868 7,908,434 3,954,217 11,862,652 5,931,326 2,965,663 8,896,990 4,448,495 13,345,486 6,672,743 20,018,230 10,009,115 30,027,346 15,013,673 45,041,020 22,520,510 11,260,255 33,780,766 16,890,383 50,671,150 25,335,575 76,006,726 38,003,363 114,010,090 57,005,045 171,015,136 85,507,568 42,753,784 21,376,892 10,688,446 5,344,223 16,032,670 8,016,335 24,049,006 12,024,503

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